2251005015042 has 72 divisors (see below), whose sum is σ = 5673713353776. Its totient is φ = 643114597104.

The previous prime is 2251005015013. The next prime is 2251005015107. The reversal of 2251005015042 is 2405105001522.

2251005015042 is a `hidden beast` number, since 2 + 2 + 5 + 100 + 50 + 1 + 504 + 2 = 666.

It is a super-4 number, since 4×2251005015042⁴ (a number of 51 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2251005014997 and 2251005015015.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 25183233 + ... + 25272459.

It is an arithmetic number, because the mean of its divisors is an integer number (78801574358).

Almost surely, 2^{2251005015042} is an apocalyptic number.

2251005015042 is an abundant number, since it is smaller than the sum of its proper divisors (3422708338734).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2251005015042 is a wasteful number, since it uses less digits than its factorization.

2251005015042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117852 (or 117842 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The spelling of 2251005015042 in words is "two trillion, two hundred fifty-one billion, five million, fifteen thousand, forty-two".